GCD of 208, 919, 48, 292 Calculator

Given Input numbers are 208, 919, 48, 292

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 208, 919, 48, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 919, 48, 292 is 1.

Therefore, GCD of numbers 208, 919, 48, 292 is 1

Given Input Data is 208, 919, 48, 292

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 919 is 919

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 292 is 2 x 2 x 73

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(208, 919) = 191152

GCD(208, 919) = ( 208 x 919 ) / 191152

GCD(208, 919) = 191152 / 191152

GCD(208, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 208, 919, 48, 292 is 1

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• GCD of 945, 235, 55, 649
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1. What is the GCD of 208, 919, 48, 292?

GCD of 208, 919, 48, 292 is 1

2. Where do I get the detailed procedure to find GCD of 208, 919, 48, 292?

You can find a detailed procedure to find GCD of 208, 919, 48, 292 on our page.

3. How to find GCD of 208, 919, 48, 292 on a calculator?

You can find the GCD of 208, 919, 48, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.